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A massless spring with a spring constant k = 22.0 N/m is hanging vertically from the...

A massless spring with a spring constant k = 22.0 N/m is hanging vertically from the ceiling neither stretched nor compressed as shown in part (1). A 0.45-kg ball is attached to its free end, then slowly lowered to its equilibrium (E) position (2). Finally, the ball is pulled down a distance of 15.0 cm before being released (3).

a) Using the provided information derive the algebraic expression for the stretched distance in the
spring while at equilibrium.
b) Calculate the stretched distance of the spring while at equilibrium.
c) What is the amplitude and the period of oscillation of the SHO?
d) Use the table below to compute the kinetic energy, the gravitational potential energy, and the elastic potential energy of the system at points (B), (E) and (T). Use the lowest point (B) to be the reference point of measurement for the gravitational potential energy.

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